The column headers of a formal proof are _____________ and ____________.
statements and reasons
definitions and examples
givens and conclusions
conjectures and counterexamples

Answers

Answer 1

Answer:

Statements and reasons

Step-by-step explanation:

Answer 2

Answer:

statements and reasons

Step-by-step explanation:

These headers are standard and are used on every formal proof.


Related Questions

what is a polynomial​

Answers

A polynomial is an expression that contains several terms.

Examples include...

5x +1

5x^(-2) +1

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Answers

Answer:

D. Ryan found the Least Common Multiple

Answer :

D - Ryan found the least common multiple.

(3x+2)/5 =31 PLEASE HELP FAST

Answers

Answer:

x = 51

Step-by-step explanation:

3 x 51 = 153, 153 + 2 = 155, 155 / 5 = 31

Answer:

x=51

Step-by-step explanation:

3x+2=155

3x+2-2=155-2

3x=153

3x/3 = 153/3

x=51

How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the point (1,5)?

Answers

9514 1404 393

Answer:

  y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

  y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

  0 = a(4 -7)^2 +b   ⇒   9a +b = 0

  5 = a(1 -7)^2 +b   ⇒   36a +b = 5

__

Subtracting the first equation from the second, we have ...

  (36a +b) -(9a +b) = (5) -(0)

  27a = 5

  a = 5/27

Substituting that value into the first equation gives ...

  9(5/27) +b = 0

  5/3 +b = 0

  b = -5/3

So, the quadratic can be written in vertex form as ...

  y = (5/27)(x -7)^2 -5/3

4/5 + 3 1/10

Please answer quick (◍•ᴗ•◍)❤​

Answers

Answer:

3 9/10

Step-by-step explanation:

Find the common factor

8/10+3 1/10

3 9/10

Help!!!!!! I need to know if it's right!

Answers

Answer:

I think it's right

Step-by-step explanation:

as -1×-1=+1 (positive 1)

which is different from the answer in step 1 because you needs to get -1 for the correct answer.

-1(x-1)= -x+1  

the real answer is -1(x+1)= -x-1    

Julian factored -1 incorrectly in the second step. The correct option is B.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given polynomial 2x⁴ + 2x³ - x² - x will be solved as below:-

P = 2x⁴ + 2x³ - x² - x

P = x ( 2x³ + 2x - x - 1 )

P = x ( 2x² [ x + 1 ] -1 ( x + 1 )

P = x ( 2x² - 1 ) ( x + 1 )

Therefore, Julian factored -1 incorrectly in the second step. The correct option is B.

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−8 3/4÷2 1/6 please show me ur work

Answers

Answer:

- 4 1/26

Step-by-step explanation:

Solving in steps:

- 8 3/4 ÷ 2 1/6 =- 35/4 ÷ 13/6 =- 35/4 × 6/13 = - 35/2 × 3/13 =- 105/26 =- 4 1/26

A worker package 150 games in 15 minutes. how many games can he package per minute?

Answers

Answer:

600 games

Step-by-step explanation:

60/15=4

150*4=600

150/15= 10 games per minute

pam's weekly exercise schedule is shown in the bar graph below. on what day did pam exercise for 45 minutes ? how long did pam exercise on thursday ? how many days did pam exercise that week ?

Answers

she exercised 45 minutes on friday.
she exercised 30 minutes on thursday
she exercised 5 days that week

she exercised 45 minutes on friday.

she exercised 30 minutes on thursday

she exercised 5 days that week

I want to find the value of x

Answers

Answer:

WALA NG VALUE ANG X DAHIL INIWAN KA NA NIYA

I hope it’s
8=2+3x
X=2

And

12=2x+2
X=5

a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair service. is there a direct variation?

Answers

Answer:

75$

Step-by-step explanation:

because 25+50=75

Answer:

The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

Step-by-step explanation:

y = -4x - 12
What is the slope(m) and the y-intercept (b)

Answers

Answer:

x=6.0

Step-by-step explanation:

the slope (m) is -4, indicating a downward slope, and the y-intercept (b) is -12,

In the equation y = -4x - 12, the coefficient of x, -4, represents the slope of the line. The slope (m) is the ratio of the vertical change to the horizontal change between any two points on the line. In this case, the slope is -4, indicating that for every unit increase in x, the y-value decreases by 4.

The constant term, -12, represents the y-intercept (b). The y-intercept is the point where the line intersects the y-axis. In this equation, the y-intercept is -12, which means that the line crosses the y-axis at the point (0, -12).

To summarize, the slope (m) is -4, indicating a downward slope, and the y-intercept (b) is -12, representing the point where the line crosses the y-axis.

Learn more about equation here

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Jake needs to buy 120 beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the number y of 12-packs of water that Jake can buy?

___ x + ___y = ____

Answers

Answer:

8x+12y=120

Step-by-step explanation:

i took the test

PLEASE HELP ASAP!!!

A cone has a volume of 200 in^3 and a
height of 10 in. Find the radius of this cone.

Answers

Answer:

The radius is 4.37 in approximately

Step-by-step explanation:

One minute is 1/60 of an hour. What part of an hour is 12 minutes?

Answers

2/10ths of an hour. You do 12/60 and get 0.2

Answer:

12/60 but you want the simplified which is 1/5 or 20%

Can someone help me with these 2 please thank you :)

Answers

Answer:

11. -0.250

12. 0

Is the equation true or false when x = 4?

(3−x28)⋅12=3x

true


false

Answers

Answer:

false

Step-by-step explanation:

the equation x would be -1.04 or 1.03 so it would be false

Answer:

the actual answer is true

Step-by-step explanation:

Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to to type 10 2/3 pages? Complete the rate table to solve the proportion

Answers

Answer:

The answer is 8 because you need to add 1 1/3 eight times to get 10 2/3

Answer:

It takes two hours

Step-by-step explanation:


Which of the following angles are congruent?

Answers

Answer:

angle B and angle f

Step-by-step explanation:

im not all that smart but goodluck

a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats are there second to the last row?​

Answers

Answer:

there are 84 seats in the  second to the last row

Step-by-step explanation:

Given that

each row has two fewer seats than the row behind it

It means that

if first row has x seats then

no of seat in second row has (x-2) seats.

and similarly

no of seat in third  row =no of seat in second row - 2seats.

no of seat in third  row = (x-2) seat - 2 seats = x - 4 seats

_____________________________________________

Given that

last row has 80 seats

let the number of seat in first to the last row be x

then number of seat in last row = x-2

we know number of seat in last row = 80

thus

x - 2 = 80

x = 82

Thus,

the number of seat in first to the last row is 82

Similarly let the number of seat in second to the last row be y

then number of seat in first to the  last row = y-2

since number of seat in first to the last row is 82

thus

y-2 = 82

y = 82 + 2 = 84

Thus, there are 84 seats in the  second to the last row.

_________________________________________________

Find the common difference of the arithmetic sequence 10,1,-8,...

Answers

The common indifference is -9 but I’m not 100% sure
Solution :AP : 10 ,1 , - 8

Common difference = Second term - first term

Common difference = 1 - 10

Common difference = - 9

pls help jwjwkwkwwkwkwkwkwkkwwkkwkwwkkwkw​

Answers

Answer:

o,-3 and 1.5,0

Step-by-step explanation:

You can find a calculator on a website called Desmos that might help answer related questions.

can someone help me it is math

Answers

Its 1/6

Have a good day

Answer:Its 1/6

Step-by-step explanation:

49×38= 4 × 39 × 8= 12/72= 12 ÷ 12/72 ÷ 12= 16

Pls help me with number 6 and 7 choose 2 answers for number 6 and 3 for 7 !! ILL MARK BRAINLIST !!

Answers

6 is 4.9 and 6.2 but i’m not sure about 7 tho

Answer:

You cant make him brainiest unless more than one person answers so I'm just "answering" so you can give him brainiest

Step-by-step explanation:

11) The owner of The Nut House wants to mix 100 pounds of cashews and almonds for a holiday special.
Cashews sell for $8 per pound and almonds sell for $3 per pound. How many pounds of each type of nut must
he mix to obtain a mixture that will sell for $6.25 per pound?

Answers

Answer:

65 pounds of cashews 35 pounds of almonds

Step-by-step explanation:

do you do vla in ohio? I have the same questions you do

Evaluate y 2 -y 1 x 2 -x 1 given the following values x 1 =10,x 2 =0,y 1 =14 and y 2 =6

Answers

Answer: the answer is 2

Step-by-step explanation:

is 5.8 greater then fifty eight hundreths

Answers

Answer:

no

Step-by-step explanation:

fifty eight hundreths= 5,800

5.8<5,800

4 yards per week in feet per day

Answers

Answer:

1,71429...

Step-by-step explanation:

4yd = 3ft

→12ft per week

12 ÷ 7 = 1,71429

The double number line shows that 4 pounds of tomatoes cost $14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.

Answers

Answer:

every tick is 3.50

Step-by-step explanation:

14/4=3.5

The price of one, two, and three pounds of tomatoes is $10.5. Each quantity is represented by its own number line in a double number line, with corresponding pairs of values lined up.

How are double number lines created?Equal ratios are represented by two parallel number lines in a double number line diagram. The tick marks are in the same places on both number lines.Despite the fact that the other numbers change frequently, the tick marks labeled with 0 always line up.Diagrams with a double number line can show you how two quantities are related in terms of their ratios.They work best when the quantities have different units. (The unit rate is represented by the number 1) Students can more easily "see" that the same ratio can take many different comparable shapes when using double number line diagrams.

Therefore,

Given,

4 pounds of tomatoes cost  = $14

We find  the prices of 1, 2, and 3 pounds of tomatoes

14/4 = 3.5

So,

1 lb = 3.5

2 lbs = 2× 3.5 = 7

3 lbs= 3 × 3.5 = 10.5

Hence, The price of one, two, and three pounds of tomatoes is $10.5.

To learn more about  double number line, refer to:

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3. Which list contains all of the factors of the number 48?
(1 point)
1, 2, 3, 4, 6, 8, 12, 16, 24
2, 3, 4, 6, 8, 12, 16, 24, 48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 48

Answers

Answer:

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

so the 3rd option is correct

Answer:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

C

Step-by-step explanation:

got it right on test

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